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Finding the Fourth Proportional to 16,241.75, 24,363.20 and 8,342.13

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Solution

The fourth proportional to 16,241.75, 24,363.20 and 8,342.13 is: 12,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.75 : 24,363.20 = 8,342.13 : x
  2. Step 2: Convert to fraction form
    16,241.75/24,363.20 = 8,342.13/x
  3. Step 3: Cross multiply
    16,241.75x = 24,363.20 × 8,342.13
  4. Step 4: Simplify right side
    16,241.75x = 203,240,981.62
  5. Step 5: Solve for x
    x = 203,240,981.62/16,241.75
  6. Step 6: Final answer
    x = 12,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.